MAT 1505 Calculus II (for science and engineering)
Textbook:
James Stewart: Calculus: Early Trancendentals
(7-8th Edition, 2015)
[ISBN: ??]
Selected parts of Chapters 5, 6, 7, 8, 11, 9 (Integrals, Applications and Techniques of
Integration, Sequences and Series, Differential Equations)
Outdated worksheets; should be updated to Statistics package for data fitting.
Maple worksheets corresponding to examples in Stewart's textbook
- 5. Integrals
- 5.1 Areas and Distances
- 5.2 The Definite Integral
- 5.3 The Fundamental Theorem of Calculus
- 5.4 Definite Integrals and the Total Change Theorem
- 5.5 The Substitution Rule
- 5.6 The Logarithm Defined as an Integral
- 5.7 Integration and Computer Algebra Systems
- 5.9 Improper Integrals
- 6. Applications of Integration
- 6.1 Areas Between Curves
- 6.2 Volumes
- 6.3 Volumes by Cylindrical Shells
- 6.4 Work
- 6.5 Average Value of a Function
- 7. Techniques of Integration
- 7.1 Integration by Parts
- 7.2 Trigonometric Integrals
- 7.6 Integration Using Tables and Computer Algebra Systems
- 7.7 Approximate Integration
- 7.8 Improper Integrals
- 8. Further Applications of Integration
- 8.1 Arclength
- 8.2 Area of a Surface of Revolution
- 8.3 Applications to Physics and Engineering
- 8.4 Applications to Economics and Biology
- 8.5 Probability
- 11. Infinite Sequences and Series
- 11.1 Sequences
- 11.2 Series
- 11.3 The Integral Tests and Estimates of Sums
- 11.4 The Comparison Tests
- 11.5 Other Convergence Tests
- 11.6 Absolute Convergence and the Ratio and Root Tests/li>
- 11.7 Strategy for Testing Series
- 11.8 Power Series
- 11.9 Representations of Functions as Power Series
- 11.10 Taylor and Maclaurin Series
- 11.11 The Binomial Series
- 11.12 Applications of Taylor Polynomials
- 9. Differential Equations
- 9.1 Modelling with Differential Equations
- 9.2 Direction Fields
- 9.3 Euler's Method
- 9.4 Separable Equations
- 9.5 Exponential Growth and Decay
- 9.6 The Logistic Equation
- 9.7 Predator-Prey Systems